Determine the coefficients a, b, c, and d so that the curve will satisfy the stipulated condition. Make the curve y= ax^3+bx^2+cx+d have critical points (1,0) and (-2,27)

Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: Find the perticular number or orthogonal trajectories of x2+cy2=1 passing through the point (2,1)

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Q: If IAIo the equilibrium paintx=0 for the system x-Ax isa stable focus

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Q: Bounded by the curve y = (x + 3)², the x axis, and the lines x =-3 and x= 0. %3D

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Q: (b) Find orthogonal trajectory of x2 - y = K. (Orthogonal trajectories]

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Q: 16. Sinusoidal functions do not have any critical points.

A: False. Sinusoidal functions has critical points.

Q: The curve ax4+bx3+cx2+dx+k passes thru P1 (5, –210), has a critical point at P2 (4, –416), and an…

A: Given The curve ax4+bx3+cx2+dx+k passes through P15,-210, has a critical point at P24,-416 and an…

Q: 4) Find the orthogonal trajectories of the family of curves

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Q: Determine the type and stability of the critical point. Then find a real general solution and sketch…

A: In this question, we find the type of stability of the critical point by using eigenvalue and phase…

Q: Find the general solution. Orthogonal Trajectories

A: To Find :  General solution of Orthogonal trajectory of following

Q: Determine a,b,c and d so that the curve y=ax^3 + bx^2 + cx + d will have a critical point at (0,-2)…

A: we have to determine a,b,c and d so that the curve y=ax3+bx2+cx+d will have a  critical point at…

Q: Find the orthogonal trajectories for the family of curves (enter your solution as an equation)…

A: Nothing

Q: An economist wants to quantify the offect of olectricity prices on the real economy. By using…

A: Here, since the electricity price jump 27% above their previous peak value and stay at this new…

Q:  0, y  0, x  20, y  20 , its faces are insulated. The temperature along the edge y  20

A: Given, a square plate is bounded by lines x=0, y=0, x=20, y=20;

Q: 8) Find the family Coff esponding to of orthogonal trajectories y=kx".

A: To find the orthogonal trajectories corresponding to below curve.

Q: critical point of y = xe*

A: Given: y=xex We know that for any given functiony=fx in it's domain, at critical point either…

Q: A rectangular steel sheet is bounded by the axis x = 0, y = 0, x = a and y = b. The temperature…

A: The given equation is: ∂2u∂x2+∂2u∂y2=0   ⋯1 The given boundary conditions are:…

Q: Find the root of the equation fx=In(x)-5+x in the interval [3.0, 4.0] using Regula Falsi method. Use…

A: Consider the given information.

Q: 1-E-, find x, y from エ+y 4. 3 3.

A: given two matrices are equal. that means, Both matrices have same order, and the corresponding…

Q: Find a single initial value problem that admits the family of solutions and then find an orthogonal…

A: Given equation is: y=ecx3 To find the initial value problem corresponding to the above solution.…

Q: 6. Minimize the material needed to create an open box with dimensions xyz and a volume of 108 in?.…

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Q: How is the Chain Rule applied when finding dydx implicitly?

A: According to the question, we have to explain the chain rule when used in the implict function.…

Q: List the critical points of the function f(x, y) = (x − 1)³(y + 2)² for which the Second Partial…

A: Given fx,y=x-13y+22   To Find: The critical points of the above function for which the Second…

Q: Find the root of the equation fx = In (x) -5 + x in the interval [2.0, 3.0] using Regula Falsi…

A: The root can be found for a function using the Regula Falsi method. This method uses the formula for…

Q: Q6. Classify critical points of the given plane autonomous system and sketch some trajectories on…

A: Q6. The given equations are,x'=-3x+y2+2y'=x2-y2

Q: 4. Find the orthogonal trajectories of the family of curves: y = ke* %3D

A:

Q: Suppose that the share of total production consumed by player i is x / x+(n1)y, where is player i's…

A: The utility to player 1 is given as: u=xx+n1yAnw-x-n-1y;w>0,A>1 Also, Ak=Aw-x*

Q: Suppose that the share of total production consumed by player i is x / x+(n1)y, where x is player…

A: The share of total production consumed by the player is xx+n1y. x: Player i's level of conflict. y:…

Q: Determine the minimum point of fx) =x,²+x,x, +x,² – 3x, – 3x, by using conjugate gradient method,…

A:

Q: Find y' where y = (tan(18z² +5)) / 18z3 +14 Answer: 54z2 O v' = sec2 (36z) /1823 + 14 + tan(182² +…

A:

Q: Find the family of orthogonal trajectories of the system of circles which pass through the origin…

A: To find  The family of orthogonal trajectories of the system of circles which passes through the…

Q: Find the Linearizat ion of Non lineah Relations hip Y= (ax+

A: This is the problem of linearization, application of differential calculus.

Q: (textbook, section 0.4, exercise 5) Evaluate the quantity V16x+- x² - 4x wherex = 8.0, correct to at…

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Q: Determine any critical points, point/s of inflection and trace the curve. Question 1.    y = 2x3 +…

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Q: What does it mean to eliminate the parameter? What useful information can be obtained by doing this?

A: Query- What does it mean to eliminate the parameter? What useful information can be obtained by…

Q: Early in the twentieth century, an intelligence test called the Stanford-Binet Test (more commonly…

A: Given: I.Q=MC×100 Find the derivative with respect to M I.QM=1C×100=100C At point (12,10)…

Q: The point (0, 0) is a critical point for g(x, y)=4+x³ +y³- 3xy. Then at (0, 0), g(x, y) has a O…

A:

Q: (2)If ø = xyz – 2 y²z+x²z?. Find div grad ø at points (2,4,1)

A: Given that        Φ =xyz-2y2z+x2z2  Here we have to find div grad Φ at points (2,4,1).

Q: At time 0, M is deposited into Fund X, which accumulates at a force of interest δ# = 0.006t*. At…

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Q: 5. Find the orthogonal trajectories for a family of circles tangent to the y - axis and centers at x…

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Q: 5  please answer, type the solution if you can please. or write clearly

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Q: Classify the equilibrium points (as sink, sources, or saddles) for the system sin x2 X1 + x2 sin x1…

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Q: Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) x2 + 2y2…

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Q: The secant method of finding roots of nonlinear equations is categorized as a (an)_____ method. O…

A: To find- The secant method of finding roots of nonlinear equations is categorized as a (an)…

Q: Find the root of the equation fx=In(x)-5+x in the interval [2.5, 3.8] using Regula Falsi method. Use…

A: The given function is fx=ln(x)-5+xThe interval is 2.5, 3.8To find root using Regula falsi method

Q: x2 - y2 + 2Cx = 0

A:

Q: Find all the critical points of z = minimum or saddle point. 4 X 2 y xy. Identify each point as a…

A: Let us considre the function z=f(x,y) Determine first order partial derivative and put it equal to…